Let f(z) = (x2 + y2) + i2xy and g(z) = 2xy + i(y2 – x2) for z = x + iy ϵ C. Then, in the complex plane C.
1
f is analytic and g is NOT analytic
2
f is NOT analytic and g is analytic
3
Neither f nor g is analytic
4
both f and g are analytic
Let f(z) = (x2 + y2) + i2xy and g(z) = 2xy + i(y2 – x2) for z = x + iy ϵ C. Then, in the complex plane C.